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Finding the Fourth Proportional to 12,082.95, 16,673.36 and 6,776.75

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Solution

The fourth proportional to 12,082.95, 16,673.36 and 6,776.75 is: 9,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.95 : 16,673.36 = 6,776.75 : x
  2. Step 2: Convert to fraction form
    12,082.95/16,673.36 = 6,776.75/x
  3. Step 3: Cross multiply
    12,082.95x = 16,673.36 × 6,776.75
  4. Step 4: Simplify right side
    12,082.95x = 112,991,192.38
  5. Step 5: Solve for x
    x = 112,991,192.38/12,082.95
  6. Step 6: Final answer
    x = 9,351.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.